Answer:
The correct options are 1, 2 and 5.
Step-by-step explanation:
All vertical lines are defined as x=a and all horizontal lines are defined as y=b.
All vertical lines are perpendicular to the line horizontal lines.
Line x = 0 is vertical line and y = –3 is a horizontal line. So line x = 0 is perpendicular to the line y = –3.
Therefore option 1 is correct.
Since y-axis is a vertical line so all lines that are parallel to the y-axis are vertical lines.
Therefore option 2 is correct.
Since x-axis is a horizontal line so all lines that are perpendicular to the x-axis are vertical lines. The slope of all vertical lines is ∞.
All lines that are perpendicular to the x-axis have a slope ∞.
Therefore, option 3 is incorrect.
The equation of the line parallel to the x-axis that passes through the point (2, –6) is y=-6 because it is a horizontal line.
Therefore, option 4 is incorrect.
The equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1 because it is a horizontal line.
Therefore, option 5 is correct.
